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Finding the Third Proportional to 422,904.38 and 929,540.81

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Solution

The third proportional to 422,904.38 and 929,540.81 is: 2,043,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,904.38 : 929,540.81 = 929,540.81 : x
  2. Step 2: Convert to fraction form
    422,904.38/929,540.81 = 929,540.81/x
  3. Step 3: Cross multiply
    422,904.38x = 929,540.81 × 929,540.81
  4. Step 4: Simplify right side
    422,904.38x = 864,046,122,103.16
  5. Step 5: Solve for x
    x = 864,046,122,103.16/422,904.38
  6. Step 6: Final answer
    x = 2,043,124.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.